You signed in with another tab or window. Reload to refresh your session.You signed out in another tab or window. Reload to refresh your session.You switched accounts on another tab or window. Reload to refresh your session.Dismiss alert
Copy file name to clipboardExpand all lines: QuantumToolbox.jl/time_evolution/lowrank.qmd
+1-1Lines changed: 1 addition & 1 deletion
Original file line number
Diff line number
Diff line change
@@ -26,7 +26,7 @@ The coefficients $B_{i,j}(t)$ are collected in the matrix $B(t)$, and the coeffi
26
26
27
27
In [@gravina2024adaptive] all coefficients $B_{i,j}(t)$ and $z_{\alpha,k}(t)$ are taken to be variational parameters. The evolution equation for the density matrix is consequently mapped onto a set of differential equations for such parameters via the time-dependent variational principle (TDVP).
28
28
29
-
The TDVP ensures a dynamical adjustment of the variational states, guaranteeing the optimal set of states is selected at all times to best approximate the dissipative evolution. This allows for a significant reduction in computational complexity as the number of states $M(t)$ necessary to accurately caputre the dynamics of the system is as small as can be, hopefully much smaller than the full Hilbert space dimension $N$.
29
+
The TDVP ensures a dynamical adjustment of the variational states, guaranteeing the optimal set of states is selected at all times to best approximate the dissipative evolution. This allows for a significant reduction in computational complexity as the number of states $M(t)$ necessary to accurately capture the dynamics of the system is as small as can be, hopefully much smaller than the full Hilbert space dimension $N$.
30
30
31
31
## Low-rank dynamics of the transverse field Heisenberg model
32
32
In this example we consider the dynamics of the transverse field Ising model (TFIM) on a 2x3 lattice. We start by importing the packages
0 commit comments